Question

Josephine is in HR and believes the population mean amount of new employee hires per year in the region is greater than 64. She would like to find evidence of this claim against the standard belief that the population mean amount of new employee hires per year is exactly 64. Josephine gathers a random sample of 56 companies from the region and calculates the sample mean amount of new employees per year to be 64.79 with a sample standard deviation of 2.77. Should the pharmacist reject or fail to reject the null hypothesis given the sample data below? H0:μ=64 versus Ha:μ>64 α=0.05 (significance level) t0=2.13 0.01

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Explanation:

From the question we are told that

The population mean is p = 64

The sample size is n = 56

The sample mean is
`\=  x  =  64.79`

The standard deviation is
`s = 2.77`

The null hypothesis is
`H_o :  \mu =  64`

The alternative hypothesis is
`H_a :  \mu > 64`

The test statistics
`t =  2.13`

The level of significance is
`\alpha  = 0.05`

The p-value is
`0.01 <  p-value <  0.025`

Given that the
`p-value  <  \alpha` we reject the null hypothesis